I really have no clue what goes on under the covers so forgive me if this is a dumb questions.. Since media type etc. are already options for the video screen, would it be hard to keep track of and use the filters from the previous time the video list was shown and default to that?
From a user/functionality point of view, I would want to avoid going into web admin for anything. Remember, this is WAF stuff. Personally, I don't mind selecting the media type whenever I go into videos.
Actually now that I think about it, a more useful idea would be to be able to go direct to various media types, including unassigned media or all like it does now. I don't really have a good solution just thinking out loud ideas that would make LMCE more user friendly. Perhaps a screen similar to going into playlists, but media type instead, or even a pop-out side menu of optional media types. I'm sure those would require a new UI to be created but there has been talk regarding UI improvements so it might be an idea worth considering.
Unless I miss my guess, most people already know if they want to watch a movie, a tv show, or whatever when they grab the remote and go to video.